Different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is equal to 6.
As given in the question,
For Math Assignment
The total set of standard dice = 6
After rolling each dice,
Possible outcomes after each trial = { 1,2,3,4,5,6 }
The total number of possible outcomes for each trial = 6
Different possible outcomes after rolling all six dice = 6 × 6
= 36
Therefore, different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is 6.
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If the expression 2x5 - 162xis equivalent to g(x) (x - 3),which expression could represent g(x)?
A. (x² + 9) (x + 3)
B. (x² + 9) (x-3)
c. 2x(x² + 9) (x + 3)
D. 2x(x² + 9) (x-3)
Answer:
c i think because you can factor it
The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you.
A. 14.4
B. 4.2
C. 18
D. 3.8
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
The variance of the sample mean x = 7 is 18(option c).
Given table:
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
n = number of observations = 5
Variance σ² = 1/n-1 Σ[tex]\ \ n} \atop {i=1} \right.[/tex] ([tex]X_{1}[/tex] - X)²
= 1/5-1 (0 +4 + 16 + 36 + 16)
= 1/4(72)
= 18
Therefore variance σ² = 18
Hence the variance of the sample mean x = 7 is 18.
so option c is correct.
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Gavin is working two summer jobs, making $14 per hour tutoring and $13 per
hour landscaping. Last week Gavin worked a total of 10 hours and earned a
total of $137. Determine the number of hours Gavin worked tutoring last
week and the number of hours he worked landscaping last week.
Gavin worked 7 hours on his tutoring job and 3 hours on his landscaping job
System of EquationsA system of equations is a group of two or more equations with the same variables. A solution to a system of equations is the values of the variables that make all of the equations in the system true. A solution to a system is also an intersection point of the graphs of the equations in the system.
Let;
Tutoring hours = xLandscaping hours = yWe need to write system of equations to solve this problem.
14x + 13y = 137 ...eq(i)
x + y = 10 ...eq(ii)
Solving equation (i) and (ii),
x = 7 and y = 3
He worked 7 hours tutoring and 3 hours landscaping
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Let A be 5, b be 5, and C be 6
Write a quadratic equation in standard form using those numbers. Find the axis of symmetry and vertex of the parabola
If A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that,
a = 5, b = 5 and c = 6
The quadratic equation is in standard form as,
y = ax² + bx + c
Put the values as
y = 5x² + 5x + 6
Differentiate the above equation and equate to 0 to obtain the vertex point,
y' = 10x + 5
0=10x + 5
5x + 1 = 0
5x = -1
x = -0.2
Substitute the value of x as
y = 5x² + 5x + 6
y = 5(-0.2)² + 5(-0.2) + 6
y = 5.2
The vertex of the parabola is (-0.2, 5.2)
Thus, if A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
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Question 9 Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it. a. Write a function that shows the total number of miles, f(x), Stefanie's car will have been driven after x more days. Explain how you know where each number goes in the equation. b. If Stefanie works 4 days a week, how many miles will her car have been driven after 3 weeks? Show and explain all your work.
First, determine the number of miles covered per day:
[tex]\frac{143\text{ miles}}{2.5\text{ hours}}=57.2\text{ miles per day}[/tex]Her car already has 45,300 miles on it.
(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:
[tex]f(x)=45,300+57.2x[/tex](b) Stephanie works 4 days a week.
After 3 weeks, the number of days worked = 4 x 3 = 12 days
Therefore, when x=12:
[tex]\begin{gathered} f(x)=45,300+57.2(12) \\ =45,300+686.4 \\ =45986.4\text{ miles} \end{gathered}[/tex]What is the gradient of a line perpendicular to a line with a gradient of −2/3?
The gradient of a line perpendicular to a line with a gradient of −2/3 is 3/2.
Gradient of a line
The gradient of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line. The gradient of a line is helpful to find the inclination or steepness of a line.
We know that,
The product of gradient of two lines perpendicular to each other is equal to -1.
Let the gradient of the other line be m.
Hence, according to the data given in the question, we can write,
(-2/3)*m = -1
m = -1*(-3/2)
m = 3/2
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Solve the equation using number sense. I hope ya'll can understand this because i can't lol, thxs.
3d + 18 = 21
A: -1
B: 1
C: 3
D: 13
Answer: B: 1
Step-by-step explanation:
Since we already know 3 + 18 = 21, then it would only make sense for 3 x 1 + 18 to equal 21. Even then, the other answers are incorrect by process of elimination
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent or supplementary
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent.
Two straight lines are parallel if they intersect a horizontal line so that their corresponding angles are coincident. Two line segments are parallel if they intersect the transverse line so that the alternating interior angles are congruent. When two parallel lines cross a horizontal line, they form an equilateral interior angle, and their sum equals 180 degrees.
The angles are complementary because the sum of the interior angles on equal sides is 180 degrees. The sum of the interior angles formed by one side of a horizontal line is two right angles. Alternating interior angles are formed by a horizontal line intersecting two parallel lines. They lie between two parallel lines, but on opposite sides of the horizontal line, creating two pairs of alternating interior angles four angles total.
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If Portia only wanted to make 6 biscuits, how many teaspoons of baking powder would she need? 1 biscuit needs 8 tsp.
Solve for x:
4(4/4x) + 5 = 32
The value of x when he equation given is solved is x = 4/27.
How to Solve for x in an Equation?To solve for x in an equation, we have to apply all necessary properties of equality to will enable us isolate x to one side of the equation. The value of x is the solution to the equation that will make the equation a true statement.
Given the equation:
4(4/4x) + 5 = 32
Subtract 5 from both sides
4(4/4x) + 5 - 5 = 32 - 5 [subtraction property of equality]
4(4/4x) = 27
4/x = 27
Cross multiply
4 = 27(x)
4 = 27x
Divide both sides by 27 [division property of equality]
4/27 = 27x/27
4/27 = x
x = 4/27
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Answer:
6.75
Step-by-step explanation:
I've had this question before. You solve like this:
4/4 = 1 so x.
so 4 times x is 4x. You then subtract 5 from each side.
4x+5-5=32-5
4x=27 Divide both sides by 4 to get
x=27/4 which as a decimal is 6.75.
Which statements are true about the solution to the system of equations?
The statements that are true about the solution to the system of equations are
y coordinate, of the solution is = (-8) ,
x coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
In the question ,
the system of equations are given as
4x+3y = 12 ...(1)
and 2x +3y = -6 ...(2)
to solve for x and y , we subtract equation (2) from equation(1) .
So , On subtracting , we get
(4x+3y)-(2x+3y)= 12-(-6)
4x+3y-2x-3y = 12+6
4x-2x +3y-3y = 18
2x = 18
x = 18/2
x = 9
Put x=9 in equation [tex](1)[/tex], we get
4(9)+3y=12
36+3y=12
3y = 12-36
3y = -24
y= -24/3
y = -8
Since x coordinate is +9 and y coordinate is -8 ,
so the solution lies in Quadrant IV.
Therefore , The statements that are true about the solution to the system of equations are
y-coordinate, of the solution is = (-8) ,
x-coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
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Simplify m^8 m^ -6
Om^2
0 1/m^2
O-m^14
Answer: The answer is m^2
Step-by-step explanation:
Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
A.
x + 0.05x = 3.15, which has infinitely many solutions
B.
x + 0.5x = 3.15, which has one solution
C.
x + 0.05x = 3.15, which has one solution
D.
0.05x = 3.15, which has no solution
Answer:
C is the correct answer.
Of the 175 dogs that were groomed 3/25 had a red collar. How many of the dogs had a red collar
Answer:
21
Step-by-step explanation:
175 x 3 = 525. Divide that by 25 and you get 21.
Answer and if you can put an explanation that would ben nice.
Explanation not necessary
Answer:
a
Step-by-step explanation:
if you substitute for example in the first 2 boxes you have -1 for x and 5 for y so substitute these in for x and y so 5=2(-1)+7. Next do 2 time -1 = -2 the add 7. -2+7=5 so 5=5 hope this helps
What is the value of the expression −51 − 17 − (−37)?
A. −68
B. −105
C. −31
D. −71
Expression is a combination of numbers, operators and variables. the value of the expression −51 − 17 − (−37) is -31.
What is Expression?Expression is a combination of numbers, operators and variables.
The given expression is minus fifty one minus seventeen minus of minus thirty seven.
−51 − 17 − (−37)
We have to use BODMAS rule to solve this expression
-51-17+37
Now add minus fifty one and minus seventeen
We get minus 68
-68+37
Now subtract 37 from 68 and put minus sign in the answer.
We get answer as minus thirty one.
-31
Hence option C is correct. the value of the expression −51 − 17 − (−37) is -31.
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a box with a square base has length plus girth of 108 in. (girth is the distance ""around"" the box.) what is the length of the box if its volume is 2200 in3 ?
Answer:
88
Step-by-step explanation:
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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Answer:
A and C
Step-by-step explanation: The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
I need help with this.
Answer: A 550g box for $10.89
Step-by-step explanation:
Represent each option as grams per dollar
225g / $5.77 = 38.99g / $1.00
550g / $10.89 = 50.51g / $1.00
725g / $16.89 = 42.92g / $1.00
The second option gives the most grams per dollar
How many times greater is 3.08\times 10^{8}3.08×10
8
than 4.4\times 10^{6}4.4×10
6
? Express your answer using either standard notation or scientific notation.
The number of times that 3.08 × 10^8 is greater than 4.4 ×× 10^6 as a scientific notation is 0.7 × 10^2.
What is scientific notation?Scientific notation simply means the way of expressing numbers that are too big or too small.
In this case, the numbers that are given are 3.08 × 10^8 and 4.4 ×× 10^6
Then we have to divide them to know the number of times that it's greater. This will be:
= (3.08 × 10^8) / (4.4 × 10^6)
= 0.7 × 10^2
This illustrates scientific notation.
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Use the following images to complete the sentences describing the ratio of tusks to whiskers.
There are 2 tusks for every
There is 1 tusk for every
whiskers.
whiskers.
There are 2 tusks for every 8 whiskers.
There is 1 tusk for every 4 whiskers.
How are the ratios calculated?
First image:
Number of whiskers in the first image = 4
Number of tusks in the first image = 0
Second image:
Number of whiskers in the second image = 4
Number if tusks in the second image = 2
Total number of whiskers = 4+4
= 8
Total number of tusks = 0 + 2
= 2
Rewriting as ratios,
a) Tusks: whiskers
2: 8
So, from the ratio, there are 2 tusks for every 8 whiskers.
b) Tusks: whiskers
2: 8
1 : 4
So, from the ratio, there is 1 tusk for every 4 whiskers.
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If 28 slices of pizza are to be shared in the ratio 5:2 how much will each part be?
Help this is needed right now like I need the answer help me
find the equivalent function for f(x)=6(2)3xthe 3x is supposed to be an exponent pls help
Answer:
An equivalent function to the given function is;
[tex]f(x)=6(8)^x[/tex]Explanation:
Given the function;
[tex]f(x)=6(2)^{3x}[/tex]we want to find an equivalent function to the given function;
Applying the rules of exponent;
[tex]\begin{gathered} f(x)=6(2)^{3x}=6(2^3)^x \\ =6(2\times2\times2)^x \\ =6(8)^x \end{gathered}[/tex]Therefore, An equivalent function to the given function is;
[tex]f(x)=6(8)^x[/tex]Let f be a function such that StartFraction x squared minus x Superscript 4 Baseline Over x squared EndFraction ≤ f(x) ≤ One-fourth x cubed for all –2 ≤ x ≤ 2. What is Limit of f (x) as x approaches 0?
The limit is 0.
The limit is 1.
The limit does not exist.
The limit cannot be found because f(x) is unknown.
commercial photographer
portrait photographer
nature photographer
education photographer
Answer:
limit = 1
Step-by-step explanation:
1. An express bus travels 150 miles to Washington D.C. It makes the trip in 3 hours. What is the unit rate? ( onts
Answer: 50 mph
Step-by-step explanation:
S = D/TS= 150/3S= 5050 mphIf someone could please help me that would be great! ( please only answer if you know the answer! ) ( look at photo )
Using the properties of complementary angles we can represent the solution as (a) definition of a right angle (b) substitution property of equality (c) angle addition postulate .
If the sums of two angles equal exactly 90 degrees, they are said to be complimentary.
The two angles could be a part of two distinct or related figures. Angles that are complementing don't have to be close by or facing the same direction. If the total of any two angles is precisely 90 degrees, they are said to be complementary.In both geometry and trigonometry, a right angle, commonly referred to as a quarter turn, is an angle that is precisely 90 degrees. If a ray is positioned so that its terminal is on a line and they are equal, the neighboring angles are right angles. The word is a calque of the Latin word angulus rectus, which means "upright" and denotes a vertical line perpendicular to a vertical base line.Orthogonality, which is the property of producing right angles, and perpendicular lines, which are defined as lines that intersect at right angles, are important and closely related geometrical concepts. The right angle is a crucial idea in trigonometry since it is used to identify correct triangles.To learn more about complimentary angles visit:
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Passes through points (-3,-8) and (-7,-12)
Write equation In point slope form
Answer:
y = x - 5
Point Slope form: y + 8 = 1 (x + 3)
Step-by-step explanation:
(-3,-8) and (-7,-12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -12 - (-8) -12 + 8 -4
m = ------------ = --------------- = -------------- = -------- = 1
x₂ - x₁ -7 - (-3) -7 + 3 -4
y - y₁ = m(x - x₁)
y - (-8) = 1(x - (-3))
y + 8 = x + 3
-8 -8
---------------------
y = x - 5
I hope this helps!
can you help me please
lilkyky67, this is the solution:
Let's recall that the angles in the image are consecutive interior angles and they add up to 180 degrees.
Therefore,
12x - 29 + 4x + 1 = 180
16x - 28 = 180
Adding 28 at both sides:
16x - 28 + 28 = 180 + 28
16x = 208
Dividing by 16 at both sides:
16x/16 = 208/16
x = 13
Now, we can find out the measures of the two angles, as follows:
First angle:
12x - 29 = 12 * 13 - 29
156 - 29 = 127
Second angle:
Please help with my geometry hw
Using the given description < NOP is found to be 46 degrees
How to find angle NOPgiven data]
< OPQ = ( 9x - 19 ) degrees
< PNO = ( 2x + 5 ) degrees
< NOP = ( 3x + 16 ) degrees
From the figure described
let < NPO = y
< PNO + < NOP + y = 180 degrees ( sum of angles of triangle )
< OPQ + y = 180 degrees ( linear pair theorem )
Hence we equate both
< PNO + < NOP + y = < OPQ + y
< PNO + < NOP = < OPQ + y - y
< PNO + < NOP = < OPQ
( 2x + 5 ) + ( 3x + 16 ) = ( 9x - 19 )
2x + 3x + 5 + 16 = 9x - 19
5x + 21 = 9x - 19
21 + 19 = 9x - 5x
40 = 4x
x = 40 / 4
x = 10
< NOP = ( 3x + 16 ) degrees
< NOP = ( 3 * 10 + 16 ) degrees
< NOP = ( 30 + 16 ) degrees
< NOP = 46 degrees
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